- Home
- Standard 12
- Physics
1. Electric Charges and Fields
hard
Two charges each of magnitude $Q$ are fixed at $2a$ distance apart. A third charge ($-q$ of mass $'m'$) is placed at the mid point of the two charges; now $-q$ charge is slightly displaced perpendicular to the line joining the charges then find its time period
A
$2\pi \sqrt {\frac{{m{a^3}\pi\, { \in _0}}}{{Qq}}} $
B
$2\pi \sqrt {\frac{{2m{a^3}\pi\, { \in _0}}}{{Qq}}} $
C
$\pi \sqrt {\frac{{m{a^3}\pi\, { \in _0}}}{{Qq}}} $
D
$\pi \sqrt {\frac{{2m{a^3}\pi\, { \in _0}}}{{Qq}}} $
Solution
$\overrightarrow{\mathrm{F}}_{\mathrm{Net}}=\overrightarrow{\mathrm{F}}_{1}+\overrightarrow{\mathrm{F}}_{2}=\mathrm{m} \overrightarrow{\mathrm{a}}$
$\Rightarrow|\overrightarrow{\mathrm{a}}|=\frac{\mathrm{F}}{\mathrm{m}}$
$\Rightarrow \omega^{2} x=\frac{F}{m}, \omega=\frac{2 \pi}{T}$
Standard 12
Physics
